How Long to Read The Polynomial Identities and Invariants of $n \times n$ Matrices
By Edward Formanek
How Long Does it Take to Read The Polynomial Identities and Invariants of $n \times n$ Matrices?
It takes the average reader 1 hour and 6 minutes to read The Polynomial Identities and Invariants of $n \times n$ Matrices by Edward Formanek
Assuming a reading speed of 250 words per minute. Learn more
Description
The theory of polynomial identities, as a well-defined field of study, began with a well-known 1948 article of Kaplansky. The field has since developed along two branches: the structural, which investigates the properties of rings which satisfy a polynomial identity; and the varietal, which investigates the set of polynomials in the free ring which vanish under all specializations in a given ring. This book is based on lectures delivered during an NSF-CBMS Regional Conference, held at DePaul University in July 1990, at which the author was the principal lecturer. The first part of the book is concerned with polynomial identity rings. The emphasis is on those parts of the theory related to n x n matrices, including the major structure theorems and the construction of certain polynomials identities and central polynomials for n x n matrices. The ring of generic matrices and its centre is described. The author then moves on to the invariants of n x n matrices, beginning with the first and second fundamental theorems, which are used to describe the polynomial identities satisfied by n x n matrices. One of the exceptional features of this book is the way it emphasizes the connection between polynomial identities and invariants of n x n matrices. Accessible to those with background at the level of a first-year graduate course in algebra, this book gives readers an understanding of polynomial identity rings and invariant theory, as well as an indication of current problems and research in these areas.
How long is The Polynomial Identities and Invariants of $n \times n$ Matrices?
The Polynomial Identities and Invariants of $n \times n$ Matrices by Edward Formanek is 65 pages long, and a total of 16,575 words.
This makes it 22% the length of the average book. It also has 20% more words than the average book.
How Long Does it Take to Read The Polynomial Identities and Invariants of $n \times n$ Matrices Aloud?
The average oral reading speed is 183 words per minute. This means it takes 1 hour and 30 minutes to read The Polynomial Identities and Invariants of $n \times n$ Matrices aloud.
What Reading Level is The Polynomial Identities and Invariants of $n \times n$ Matrices?
The Polynomial Identities and Invariants of $n \times n$ Matrices is suitable for students ages 8 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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